{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb63c5cb860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import os\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from matplotlib.ticker import NullFormatter  # useful for `logit` scale\n",
    "\n",
    "def read_data(method):\n",
    "    num_iterations = 50\n",
    "    model_dir = '/home/xilin/Projects/dtt/model'\n",
    "    model_paths = {\n",
    "        'point': (\n",
    "            'NELL-995-point-xavier-n/a-200-200-3-0.001-0.3-0.1-0.0-0.95-20-400-0.05',\n",
    "            'NELL-995-point-xavier-n/a-200-200-3-0.001-0.3-0.1-0.1-0.95-20-400-0.05',\n",
    "            'NELL-995-point-xavier-n/a-200-200-3-0.001-0.3-0.1-0.3-0.95-20-400-0.05',\n",
    "            'NELL-995-point-xavier-n/a-200-200-3-0.001-0.3-0.1-0.5-0.95-20-400-0.05'\n",
    "        ),\n",
    "        'point.rs.conve': (\n",
    "            'NELL-995-point.rs.conve-xavier-n/a-200-200-3-0.003-0.3-0.1-0.0-256-0.05/',\n",
    "            'NELL-995-point.rs.conve-xavier-n/a-200-200-3-0.003-0.3-0.1-0.1-256-0.05/',\n",
    "            'NELL-995-point.rs.conve-xavier-n/a-200-200-3-0.003-0.3-0.1-0.3-256-0.05/',\n",
    "            'NELL-995-point.rs.conve-xavier-n/a-200-200-3-0.003-0.3-0.1-0.5-256-0.05/'\n",
    "        )\n",
    "    }\n",
    "    \n",
    "    # y1\n",
    "    with open(os.path.join(model_dir, model_paths[method][0], 'dev_metrics.dat')) as f:\n",
    "        y1 = [float(l.strip()) for l in f]\n",
    "        y1 = y1[:num_iterations]\n",
    "    # y2\n",
    "    with open(os.path.join(model_dir, model_paths[method][1], 'dev_metrics.dat')) as f:\n",
    "        y2 = [float(l.strip()) for l in f]\n",
    "        y2 = y2[:num_iterations]\n",
    "    with open(os.path.join(model_dir, model_paths[method][2], 'dev_metrics.dat')) as f:\n",
    "        y3 = [float(l.strip()) for l in f]\n",
    "        y3 = y3[:num_iterations]\n",
    "    with open(os.path.join(model_dir, model_paths[method][3], 'dev_metrics.dat')) as f:\n",
    "        y4 = [float(l.strip()) for l in f]\n",
    "        y4 = y4[:num_iterations]\n",
    "        \n",
    "    return y1, y2, y3, y4\n",
    "\n",
    "# plot with various axes scales\n",
    "plt.figure(figsize=(12, 6))\n",
    "\n",
    "# dev set evaluation metrics\n",
    "plt.subplot(221)\n",
    "y1, y2, y3, y4 = read_data('point')\n",
    "x = np.arange(len(y1))\n",
    "plt.plot(x, y1)\n",
    "plt.plot(x, y2)\n",
    "plt.plot(x, y3)\n",
    "plt.plot(x, y4)\n",
    "plt.ylim((0.68, 0.8))\n",
    "plt.yscale('linear')\n",
    "plt.ylabel('dev set MRR', fontsize=14)\n",
    "plt.legend((r'$\\alpha=0.0$', r'$\\alpha=0.1$', r'$\\alpha=0.3$', r'$\\alpha=0.5$'), loc='lower right')\n",
    "plt.title('PG')\n",
    "plt.grid(True)\n",
    "\n",
    "plt.subplot(222)\n",
    "y1, y2, y3, y4 = read_data('point.rs.conve')\n",
    "x = np.arange(len(y1))\n",
    "l1 = plt.plot(x, y1)\n",
    "l2 = plt.plot(x, y2)\n",
    "l3 = plt.plot(x, y3)\n",
    "l4 = plt.plot(x, y4)\n",
    "plt.ylim((0.68, 0.8))\n",
    "plt.yscale('linear')\n",
    "plt.title('PG+ConvE')\n",
    "plt.legend((r'$\\alpha=0.0$', r'$\\alpha=0.1$', r'$\\alpha=0.3$', r'$\\alpha=0.5$'), loc='lower right')\n",
    "plt.grid(True)\n",
    "\n",
    "# Format the minor tick labels of the y-axis into empty strings with\n",
    "# `NullFormatter`, to avoid cumbering the axis with too many labels.\n",
    "plt.gca().yaxis.set_minor_formatter(NullFormatter())\n",
    "# Adjust the subplot layout, because the logit one may take more space\n",
    "# than usual, due to y-tick labels like \"1 - 10^{-3}\"\n",
    "plt.subplots_adjust(top=0.92, bottom=0.08, left=0.10, right=0.95, hspace=0.25,\n",
    "                    wspace=0.35)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
